# Exact and/or Fast Nearest Neighbors

arXiv: https://arxiv.org/abs/1910.02478 · HTML: https://mlsanity.com/paper/1910.02478/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 6 Oct 2019.

## Built on by (most cited first, 1 of 1)

- [Fast Exact Retrieval for Nearest-neighbor Lookup (FERN)](https://mlsanity.com/paper/2405.04435/) (2024)

## Abstract (arXiv)

Prior methods for retrieval of nearest neighbors in high dimensions are fast and approximate--providing probabilistic guarantees of returning the correct answer--or slow and exact performing an exhaustive search. We present Certified Cosine, a novel approach to nearest-neighbors which takes advantage of structure present in the cosine similarity distance metric to offer certificates. When a certificate is constructed, it guarantees that the nearest neighbor set is correct, possibly avoiding an exhaustive search. Certified Cosine's certificates work with high dimensional data and outperform previous exact nearest neighbor methods on these datasets.